PIRSA:18010087

# Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories

### APA

Whitsitt, S. (2018). Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories. Perimeter Institute. https://pirsa.org/18010087

### MLA

Whitsitt, Seth. Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories. Perimeter Institute, Jan. 23, 2018, https://pirsa.org/18010087

### BibTex

          @misc{ pirsa_18010087,
doi = {10.48660/18010087},
url = {https://pirsa.org/18010087},
author = {Whitsitt, Seth},
keywords = {Condensed Matter},
language = {en},
title = {Torus spectra and entanglement entropy in (2+1)-dimensional conformal field theories},
publisher = {Perimeter Institute},
year = {2018},
month = {jan},
note = {PIRSA:18010087 see, \url{https://pirsa.org}}
}


Seth Whitsitt Harvard University

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## Abstract

Finite-size spectra and entanglement both characterize nonlocal physics of quantum systems, and are universal properties of a CFT. I discuss the energy spectrum of the Wilson-Fisher CFT on the torus in the \epsilon and 1/N expansions. I also consider a class of deconfined quantum critical points where the torus spectrum contains signatures of proximate Z2 topological order. Finally, I compute the entanglement entropy of the Wilson-Fisher and Gross-Neveu CFTs in the large N limit, where an exact mapping to free field entanglement is obtained. Comparison is made with numerics.